Problem $2\mathrm{.}32$ I

A test track for automobiles has a portion with a specific profile described by:

$y=h[1-cos(\frac{x}{w})]$

where $h=0\mathrm{.}75ft$ and $w=10ft,$ and where the argument of the cosine function is understood to be in radians. A car drives at a constant speed $v_0=35mph.$ Modeling the car as a point moving along the given profile, find the velocity and acceleration of the car for $x=97ft.$ Express velocity in $f\frac{t}{s}$ and acceleration in $f\frac{t}{s^2}.$